(navigation image)
Home American Libraries | Canadian Libraries | Universal Library | Community Texts | Project Gutenberg | Children's Library | Biodiversity Heritage Library | Additional Collections
Search: Advanced Search
Anonymous User (login or join us)
Upload
See other formats

Full text of "Scientific Papers - Vi"

1913]                        FINE  SLITS IN  THIN  OPAQUE  SCREENS                             171
Thus, expanded in powers of Kb, (28) or (30) "becomes
2s 2/?                              23  2/i           ~1
-I-----:I4 (cos2 a  sin2 a) H-----'- sin2 a
7T                                                          7T                     J
+ Sri^     7 + log-~-9[|ft + Scos2 + cos4a[
.   , *         I                         TO           ^       I O                                                     ]'
I- v                                       j    \                                                    j
95     97,
+   -'-8 (cos4 a  6 cos2 a sin2 a + sin4 a)
7T 98    97.                                                               9    97,              1
+ ' (6 cos2 a sin2 a - 2 sin4 a) + -^ sin4 a
7T                                                                                    7T                     J
;6    111 f 5      45     2      15      4             ,
27 2/z, + -- :- --ia (cos8 a  15 cos4 a sin2 a + 15 cos2 a sin4 a  sin6 a)
7T 97    97,
 (15 c.os4 a sin2 a - 30 cos2 a sin4 a + 3 sin0 a)
7T
97  9 --'-
7T
+ ........... (43)
At  the centre  of the aperture (cos a = 0), in virtue of (40), a simpler form, is available.    We have
4      2/      TT 7r/6-"68    "5 . 3 . 1        ,    ikb    11\     2Aa
Similarly at the edges, by (34), (41), we have
.     ikb
6   3
T - 2
2^1
V J01 (36) reduces to a single term, viz., cos'3' < or sinn <. Thus at the Q (cos a = 0) from either of its forms